无单元法分析弹性地基板

弹性地基板的计算是学和工程师们十分关切的问题，本提出了分析Ｗｉｎｓｌｅｒ地基、双参数地基和半空间弹性地基板弯曲问题的无单元法，推导了无单元法的插值函数，从变分原理出发导出弹性地基板的刚度矩阵，给出计算实例，与其它的方法的结果进行比较，数值结果表明无单元法具有一系列优点。

ANALYSIS OF PLATES ON THE ELASTIC FOUNDATION BY THE ELEMENT-FREE METHOD

The plates on the elastic foundation havealways been an interesting problem for scientist andengineers. The element-free method for plates onWinkler, two-parameter and elastic half space foun-dation is presellted in this paper. The shape func-tion of element-free method is introduced. The stiffness matrices of plates on elastic foundation are de-rived using variational principle. Numerical exam-ples are given and compared with other methods.It shows that this method enjoys a number advan-tages.